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Problem 4. For discrete fourier transform (DFT), using he equation: N-1 x (k ) = x(n)e (N )nix Where, n = 0,1 ... N-1, and k = 0, 1, ... N-1 (a) Calculate the DFT for x(n) = [ 5.0, -1.5, 6.5, -3.0, 6.5, -1.5] manually. Show all your work (b) Create a MATLAB program that will calculate the DFT using the formula above. Attach a copy of your program and the results to your assignment. (c) Use the MATLAB command "fft" to calculate the DFT. Attach your results to the assignment